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Firdavs [7]
3 years ago
9

. Gold has a density of 19.32 g/cm3. If a square pyramid has a base edge length of 5 cm, height of 6 cm, and a mass of 942 g, is

the pyramid in fact solid gold? If it is not, what reasons could explain why it is not? Recall that density can be calculated with the formula density=mass /volume
Mathematics
2 answers:
aalyn [17]3 years ago
7 0

Answer:

See below in bold.

Step-by-step explanation:

The volume of the pyramid = 1/3 * area of base * height  = 1/3 * 6 * 5^2

= 50 cm^3.

Now we work out the density assuming it is solid gold

Density = mass / volume = 942 / 50 = 18.84, but the density of gold is 19.32 g/cm^3  so the pyramid cannot be solid gold.

trapecia [35]3 years ago
3 0

Answer:

The answer to your question is: It is not made of gold.

Step-by-step explanation:

Data

density = 19.32 g/cm³

side = 5 cm

height = 6 cm

mass = 942 g

Formula

                          V = \frac{1}{3} L^{2}  h

L² = 5 x 5 = 25 cm²

                          V = \frac{1}{3} 25 x 6

                          V = 50 cm³

density = 942 g / 50 cm³

            = 18.84 g/cm³  

It is not made of gold because the density calculated is lower than the density reported in books.

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2. Which is the following equation rewritten in slope-intercept form: -8x = 2 - 2y
Anna007 [38]

Answer:

B, y = 4x + 1

Step-by-step explanation:

to get it into y- intercept form we need to write it in the form y = mx + b

-8x = 2 - 2y, move 2y to the other side and -8x to the other side they both become positive.

2y = 8x + 2, dividing each by 2

yields y = 4x + 1

Hope this helps

8 0
3 years ago
5. Kamala worked for 7 1/2 h. She spent 2/3 of the time on her computer. How long was she on her computer?​
Lina20 [59]

Answer:

5 hrs

Step-by-step explanation:

7 1/2 hours equates to 450 minutes total

2/3 of 450 = 300 total minutes

turning the minutes back into hours, 300 / 60 = <u>5</u>

4 0
2 years ago
Read 2 more answers
One month Lisa rented 2 movies and 3 video games for a total of $26. The next month she rented 6 movies and 5 video games for a
xxMikexx [17]

Answer:rental cost for movie $5.50 rental cost for video game $5.00

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The function f(x) = (x − 4)(x − 2) is shown. What is the range of the function?
leonid [27]

The range of the quadratic function is [-1, ∞) after plotting the function on the coordinate plane.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The function is:

f(x) = (x - 4)(x - 2)

The above function is a quadratic function.

The above function can be written as:

f(x) = x² - 6x + 8

From the graph,

The minimum value of graph at x = 3 is y = -1

The range of the function is [-1, ∞)

Thus, the range of the quadratic function is [-1, ∞) after plotting the function on the coordinate plane.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

8 0
1 year ago
Let Upper C left-parenthesis q right-parenthesis represent the cost, Upper R left-parenthesis q right-parenthesis the revenue, a
Dennis_Churaev [7]

Answer:

(a)$13

(b) Loss of $4

Step-by-step explanation:

C(q) represents Cost of producing q units.

R(q) represents Revenue generated from q units.

P(q) represents Total Profit made from producing q units.

Marginal analysis is concerned with estimating the effect on quantities such as cost, revenue, and profit when the level of production is changed by a unit amount. For example, if C(q) is the cost of producing q units of a certain commodity, then the marginal cost, MC(q), is the additional cost of producing one more unit and is given by the difference

MC(q) = C(q + 1) − C(q).

Using the estimation

C'(q)≈\frac{C(q+1)-C(q)}{(q+1)-q}=C(q+1)-C(q)

We find out that MC(q)=C'(q)

We can therefore compute the marginal cost by the derivative C'(q).

This also holds for Revenue, R(q) and Profit, P(q).

(a) If C'(50)=75 and R'(50)=88

51st item.

P'(50)=R'(50)-C'(50)

=88-75=$13

The profit earned from the 51st item will be approximately $13.

(b) If C'(90)=71 and R'(90)=67, approximately how much profit is earned by the 91st item.

P'(90)=R'(90)-C'(90)

=67-71= -$4

The profit earned from the 91 st item will be approximately -$4.

There was a loss of $4.

4 0
3 years ago
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